2 papers
math.CO2012
Icosahedral Skeletal Polyhedra Realizing Petrie Relatives of Gordan's Regular Map
Anthony M. Cutler, Egon Schulte, Jorg M. Wills
Every regular map on a closed surface gives rise to generally six regular maps, its "Petrie relatives", that are obtained through iteration of the duality and Petrie operations (ta…
math.MG2010
Regular Polyhedra of Index Two, II
Anthony M. Cutler
A polyhedron in Euclidean 3-space is called a regular polyhedron of index 2 if it is combinatorially regular and its geometric symmetry group has index 2 in its combinatorial autom…